If n identical cells, each of emf E, are joined in series, the net emf is

Options

A. `E/n`
B. nE
C. `n^(2)E`
D. none of these

Answer

To find the net electromotive force (emf) when n identical cells, each with an emf of E, are connected in series, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Series Connection**: In a series connection, the total emf is the sum of the individual emfs of the cells. This is because the voltage from each cell adds up.

2. **Identifying the Number of Cells**: Let’s denote the number of identical cells as n.

3. **Calculating Total EMF**: Since each cell has an emf of E, when n cells are connected in series, the total emf (net emf) can be expressed mathematically as:
\[ \text{Total EMF} = E + E + E + \ldots + E \quad (\text{n times}) \]

4. **Simplifying the Expression**: This can be simplified to:
\[ \text{Total EMF} = n \times E \]

5. **Conclusion**: Therefore, the net emf when n identical cells are connected in series is:
\[ \text{Net EMF} = nE \]

### Final Answer:
The net emf when n identical cells, each of emf E, are joined in series is \( nE \).

---